average, by a factor of 2.1 over second-order static solutions, our proposed routine reached a factor of 2.0, while simultaneously providing a 14-fold reduction of the average maximum shim current changes. Conclusions: The proposed algorithm substantially reduces the shim amplitudes and their temporal variation, while only marginally affecting the achievable B 0 homogeneity. As a result, it has the potential to mitigate the remaining challenges in dynamic B 0 shimming and help in making its application more readily available. K E Y W O R D S B 0 homogeneity, B 0 shimming, dynamic shim updating, eddy current compensation, high-order shimming 264 | SCHWERTER ET al.